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  1. Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have a 9 on them. How many 9's do we have to add to make the expected value equal to 6?
  2. Let DEF be an equilateral triangle with side length 3. At random, a point G is chosen inside the triangle. Compute the probability that the length DG is less than or equal to 1.

 Nov 19, 2022
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1. We must add 8 slips with 9.

 

2. The probability is 2*pi/27.

 Nov 19, 2022

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